82607800003260 has 384 divisors, whose sum is σ = 279202922127360. Its totient is φ = 17827350912000.

The previous prime is 82607800003237. The next prime is 82607800003273. The reversal of 82607800003260 is 6230000870628.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2966048335 + ... + 2966076185.

It is an arithmetic number, because the mean of its divisors is an integer number (727090943040).

Almost surely, 2^{82607800003260} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82607800003260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139601461063680).

82607800003260 is an abundant number, since it is smaller than the sum of its proper divisors (196595122124100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82607800003260 is a wasteful number, since it uses less digits than its factorization.

82607800003260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29137 (or 29135 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

Adding to 82607800003260 its reverse (6230000870628), we get a palindrome (88837800873888).

The spelling of 82607800003260 in words is "eighty-two trillion, six hundred seven billion, eight hundred million, three thousand, two hundred sixty".